13 ideas
17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
12608 | Concepts are distinguished by roles in judgement, and are thus tied to rationality [Peacocke] |
12605 | A sense is individuated by the conditions for reference [Peacocke] |
12607 | Fregean concepts have their essence fixed by reference-conditions [Peacocke] |
12609 | Concepts have distinctive reasons and norms [Peacocke] |
12604 | Any explanation of a concept must involve reference and truth [Peacocke] |
12610 | Encountering novel sentences shows conclusively that meaning must be compositional [Peacocke] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |